Variation Jamb Mathematics Past Questions
Question 31
Suppose x varies inversely as y, y varies directly as the square of t and x = 1, when t = 3. Find x when t = \(\frac{1}{3}\).
- A. 81
- B. 27
- C. \(\frac{1}{9}\)
- D. \(\frac{1}{27}\)
- E. \(\frac{1}{81}\)
Question 32
Simplify T = \(\frac{4R_2}{R_1^{-1} + R_2^{-1} + 4R_3^{-1}}\)
- A. \(\frac{4R_1 \times R_2 R_3}{R_2R_3 + R_1R_3 + 4R_1 R_2}\)
- B. \(\frac{R_1 R_2 R_3}{R_2R_3 + R_1R_2 + 4R_1 R_2}\)
- C. \(\frac{16R_1 R_2 R_3}{R_2R_3 + R_1R_2 + R_1 R_2}\)
- D. \(\frac{4R_1 R_2 R_3}{4R_2R_3 + R_1R_2 + 4R_1 R_2}\)
Question 33
If x varies inversely as y, and y varies directly as the square root of z, and z varies directly \(\frac{1}{w^2}\) write down in words how x varies with w
- A. x varies inversely as w2
- B. x varies directly as w2
- C. x varies directly as w
- D. x varies inversely as w
- E. x varies directly as square root of w
Question 34
x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6?
- A. \(\frac{5}{6}\)
- B. 11
- C. 3\(\frac{3}{5}\)
- D. 2\(\frac{1}{2}\)
- E. 1\(\frac{1}{5}\)
Question 35
A force of 5 units acts on a particle in the direction to the east and another force of 4 units acts on the particle in the direction north-east. The resultants of the two forces is
- A. \(\sqrt{3}\) units
- B. 3 units
- C. \(\sqrt{41 + 20 \sqrt{2}}\) units
- D. \(\sqrt{41 - 20 \sqrt{2}}\) units
